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<dd><i>This article is related to <a href="http://en.wikipedia.org/wiki/Signal_processing" title="Signal processing">signal processing</a>. For other meanings of the word <b>Decimation</b>, please see <a href="http://en.wikipedia.org/wiki/Decimation_%28disambiguation%29" title="Decimation (disambiguation)" class="mw-redirect">Decimation (disambiguation)</a>.</i></dd>
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<p>In <a href="http://en.wikipedia.org/wiki/Digital_signal_processing" title="Digital signal processing">digital signal processing</a>, <b>decimation</b> is a technique for reducing the number of <a href="http://en.wikipedia.org/wiki/Sample_%28signal%29" title="Sample (signal)" class="mw-redirect">samples</a> in a <a href="http://en.wikipedia.org/wiki/Discrete_signal" title="Discrete signal">discrete-time signal</a>. The element which implements this technique is referred to as a <b>decimator</b>.</p>
<p>Decimation is a two-step process:</p>
<ol>
<li><a href="http://en.wikipedia.org/wiki/Anti-aliasing_filter" title="Anti-aliasing filter">Low-pass anti-aliasing filter</a></li>
<li><a href="http://en.wikipedia.org/wiki/Downsampling" title="Downsampling">Downsampling</a></li>
</ol>
<p>An example of decimation: the <a href="http://en.wikipedia.org/wiki/Frequency" title="Frequency">frequency</a> of a recorded sound can be raised an <a href="http://en.wikipedia.org/wiki/Octave" title="Octave">octave</a> (in other words, doubled in frequency) by eliminating every other sample without changing the <a href="http://en.wikipedia.org/wiki/Sampling_rate" title="Sampling rate">sampling rate</a>. This will result in <a href="http://en.wikipedia.org/wiki/Aliasing" title="Aliasing">aliasing</a> if the sound contains <a href="http://en.wikipedia.org/wiki/Overtones" title="Overtones" class="mw-redirect">overtones</a>
 whose (doubled) frequency will exceed half the sampling rate. 
Decimation aliasing can be avoided by eliminating those overtones with a
 lowpass filter before downsampling.</p>
<p>The same principle applies to eliminating samples at other intervals.</p>
<h2><span class="editsection">[<a href="http://en.wikipedia.org/w/index.php?title=Decimation_%28signal_processing%29&amp;action=edit&amp;section=1" title="Edit section: See also">edit</a>]</span> <span class="mw-headline" id="See_also">See also</span></h2>
<ul>
<li><a href="http://en.wikipedia.org/wiki/Downsampling" title="Downsampling">Downsampling</a></li>
</ul>
<p><br></p>
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